We had lived in a new town only 3 weeks when I had my second (2000 miles from where we'd been), so we had my mother-in-law come from 7 hours away about a week before my due date. Thank goodness, because Baby came just a day after she arrived! My second labor was actually longer than my first, so I wouldn't count on it being short. We are due with our third in December, and we have my family coming out about a week before Baby is due, and my inlaws over the holidays, and we have four different sets of friends that can and will watch our children if we go into labor before that. My oldest is in school, so we have friends in our neighborhood that could take them so he can continue to take the bus.
We do not leave our children often and they are not used to being away from us, but I KNOW I do not want them with me in the delivery room. I am loud and in pain when I deliver, and I do not WANT my children close to me; I am very focused on ME, and not on them. Moreover, if your husband won't be there to watch the child, YOU would be responsible for the child--I frankly think it's unreasonable to think that the nurses would care for your child, and you probably won't be able to, especially if something goes unexpectedly. Moreover, while some children and parent combos deal really well with delivery (the other mom who posted that birth was a family affair), I think *my* children would be really concerned about the blood and the pain and the fact that they couldn't ask questions and get snuggles from mom to reassure them I was ok--that would be very upsetting to my children. So, I have explained to my 6 year old that labor is hard, and I don't feel good when I'm in labor, so they won't be there to see it, but we'll be thinking of them and call when Baby arrives--and that they will be the first to know.
I would also think many hospitals would even have policies about children being there while mom delivers; it might not even be an option. Depending, though, on how you feel about it, would a homebirth be an option? We had arranged for a doula, and she had suggested that part of her job included caring for our other children, distracting them so my husband and I could work on my early labor. For a homebirth, you could at least know your child is there, watching tv or snoozing.